Extension of Chaplygin's existence and uniqueness method for fractal-fractional nonlinear differential equations

Extension of Chaplygin's existence and uniqueness method for fractal-fractional nonlinear differential equations

The existence and uniqueness of solutions to nonlinear ordinary differential equations with fractal-fractional derivatives, with Dirac-delta, exponential decay, power law, and generalized Mittag-Leffler kernels, have been the focus of this work. To do this, we used the Chaplygin approach, which enta...

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Bibliographic Details
Main Authors: Abdon Atangana, Seda İğret Araz
Format: Article
Language:English
Published: AIMS Press 2024-01-01
Series:AIMS Mathematics
Subjects:
fractal-fractional differentiation and integration
chaplygin's method
existence and uniqueness
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2024280?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2024280?viewType=HTML

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